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Hebestreit, Fabian; Perlmutter, Nathan
Advances in mathematics (New York. 1965), 09/2019, Letnik: 353Journal Article
We prove that the stable moduli space of (n−1)-connected, n-parallelizable, (2n+1)-dimensional manifolds is homology equivalent to an infinite loopspace for n≥4,n≠7. The main novel ingredient is a version of the cobordism category incorporating surgery data in the form of Lagrangian subspaces.
